Finding the Third Proportional to 8,014 and 10,874

Step by Step Solution

1. Step 1: Write the proportion equation
   8,014 : 10,874 = 10,874 : x
2. Step 2: Convert to fraction form
   8,014/10,874 = 10,874/x
3. Step 3: Cross multiply
   8,014x = 10,874 × 10,874
4. Step 4: Simplify right side
   8,014x = 118,243,876
5. Step 5: Solve for x
   x = 118,243,876/8,014
6. Step 6: Final answer
   x = 14,754.66